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Title of article :
Anisotropic smoothing of point sets Original Research Article
Author/Authors :
Carsten Lange، نويسنده , , t Konrad Polthier، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
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Abstract :
The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature flow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive a shape operator, principal curvature properties of a point set, and an anisotropic Laplacian of the surface. This anisotropic Laplacian reflects curvature properties which can be understood as the point set analogue of Taubinʹs curvature-tensor for polyhedral surfaces. We combine these discrete tools with techniques from geometric diffusion and image processing. Several applications demonstrate the efficiency and accuracy of our method.
Keywords :
Curve , Surface , Object representations , Solid representations , Point sets , Anisotropic mean curvature , Anisotropic sampling , Shape operator , Anisotropic Laplace , Mean curvature flow , Fe , Principal curvatures
Journal title :
Computer Aided Geometric Design
Serial Year :
Link To Document :